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This paper presents a new mathematical operator approach for deriving dyadic Green's functions in layered optical media with anisotropic properties. The method expresses Green's functions through evolution operators and surface impedance tensors, naturally separating singular terms from regular ones. The approach simplifies both theoretical understanding and practical calculations for electromagnetic field interactions in layered structures, and can be extended to spherical and cylindrical geometries as well as bi-anisotropic media.
Why it matters
This work provides a more efficient computational framework for analyzing light-matter interactions in complex layered structures, which is essential for designing nanophotonic devices such as metamaterials, optical sensors, and integrated photonic circuits. The simplified formalism could accelerate the development of advanced optical technologies by making electromagnetic calculations more tractable.
Understand the Science
arXiv:2605.12346v2 Announce Type: replace
Abstract: Dyadic Green’s function is an important tool of computational photonics, giving deeper insights into light-matter interaction. We present an operator approach to the derivation of the dyadic Green’s function of a generic anisotropic planarly-layered medium for both electric and magnetic fields. The resulting Green’s function is expressed through the evolution operators (a kind of transfer matrices) of the comprising layers and the surface impedance tensors, the singular term being naturally separated from other terms. The operator approach to the Green’s function simplifies both the conceptual understanding of the problem and the subsequent practical applications, some of which are demonstrated here. The proposed approach can be easily generalized to the case of spherical and cylindrical layers, as well as bi-anisotropic layered media. The obtained results can be applied in nanophotonics engineering problems.
Source: General and concise operator approach to the dyadic Green's function of layered media